Question

Which pair of rectangles is similar

A) 6,8 and 3,4
B) 6,8 and 2,4
C) 6,15 and 3,8
D) 9,15 and 3,4

Answer 1

If the rectangle a × b and the rectangle c × d are similar, then

a : b = c : d.

Check:

`A)\ (6)/(8)=(6:2)/(8:2)=(3)/(4)\qquad\text{CORRECT}\\\\B)\ (6)/(8)=(6:2)/(8:2)=(3)/(4)\\eq(2)/(4)\\\\C)\ (6)/(15)=(6:3)/(15:3)=(2)/(5)\\eq(3)/(8)\\\\D)\ (9)/(15)=(9:3)/(15:3)=(3)/(5)\\eq(3)/(4)`

Answer: A) 6, 8 and 3, 4.